Infinite rank Schrodinger-Virasoro type Lie conformal algebras
Rings and Algebras
2016-09-21 v1 Mathematical Physics
math.MP
Abstract
Motivated by the structure of certain modules over the loop Virasoro Lie conformal algebra and the Lie structures of Schrodinger-Virasoro algebras, we construct a class of infinite rank Lie conformal algebras CSV (a, b), where a, b are complex numbers. The conformal derivations of CSV (a, b) are uniformly determined. The rank one conformal modules and Z-graded free intermediate series modules over CSV (a, b) are classified. Corresponding results of the conformal subalgebra CHV (a, b) of CSV (a, b) are also presented.
Keywords
Cite
@article{arxiv.1607.00522,
title = {Infinite rank Schrodinger-Virasoro type Lie conformal algebras},
author = {Guangzhe Fan and Yucai Su and Chunguang Xia},
journal= {arXiv preprint arXiv:1607.00522},
year = {2016}
}
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14pages